Solid Calcium carbonate $(MgC{O}_3)$ decomposes at high temperatures to form solid Magnesium oxide and Carbon dioxide gas.

$(7)$

a$)$ Write a balanced chemical equation for this reaction

b$)$ If we start off with $660g$ of $MgC{O}_3,$ How many moles is this?

c$)$ How many moles of Carbon dioxide could be formed?

d$)$ What mass of Carbon dioxide would be formed?

e$)$ What mass of Magnesium Carbonate would be needed to decompose to produce $5Kg$ of Magnesium oxide?